105547368960 has 240 divisors, whose sum is σ = 398772110880. Its totient is φ = 25587179520.

The previous prime is 105547368919. The next prime is 105547368967. The reversal of 105547368960 is 69863745501.

105547368960 is a `hidden beast` number, since 1 + 0 + 5 + 547 + 3 + 6 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105547368960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105547368897 and 105547368906.

It is not an unprimeable number, because it can be changed into a prime (105547368967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45211 + ... + 461669.

It is an arithmetic number, because the mean of its divisors is an integer number (1661550462).

Almost surely, 2^105547368960 is an apocalyptic number.

105547368960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105547368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199386055440).

105547368960 is an abundant number, since it is smaller than the sum of its proper divisors (293224741920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105547368960 is a wasteful number, since it uses less digits than its factorization.

105547368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416499 (or 416480 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 105547368960 in words is "one hundred five billion, five hundred forty-seven million, three hundred sixty-eight thousand, nine hundred sixty".